It comes after the Belfast High Court overruled the PPS’s previous decision to drop charges against the ex-soldier.
The PPS said it had since reviewed its position on the matter and decided to resume the prosecution.
Soldier F is being prosecuted for the murders of William McKinney and James Wray in Londonderry on 30 January 1972.
He also faces five charges of attempted murder on the same date.
The prosecution is due to restart at Londonderry Magistrates’ Court on Tuesday.
Thirteen people were shot dead and at least 15 others injured when members of the Army’s Parachute Regiment opened fire on civil rights demonstrators in the Bogside, a predominantly Catholic part of Derry.
That day became known as Bloody Sunday.
It is widely regarded as one of the darkest days of the Northern Ireland Troubles.
Mickey McKinney, the brother of William McKinney, said he was “very pleased” that the case against Soldier F would start again.
Speaking to BBC Radio Foyle, he said it was great to see “the case starting to move again”.
“It’s a matter of waiting to see now,” he said.
“We will await the timetable and we need to get through the committal and just see what happens.”
The Foyle MP said it was “bitterly disappointing that this case has been subject to such long delays”.
PPS deputy director Michael Agnew said he was “very conscious of the upset caused” to the families after the decision to withdraw the proceedings against Soldier F last year.
“It is our role to keep under review the evidence presented in every case,” he said.
“This case has presented difficult and complex legal issues for prosecutors, as was acknowledged by the divisional court.
“The PPS is committed to progressing court proceedings against Soldier F without any further delay.”
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